Question
Uniform and Non-uniform Probability
Question 1
Which spinner represents a uniform probability model?
Responses
A spinner Aspinner A
B spinner Bspinner B
C spinner Cspinner C
D spinner Dspinner D
Question 2
Which situation represents an event from a non-uniform probability model?
Responses
A rolling a 2 on a six-sided dierolling a 2 on a six-sided die
B landing on heads from a flip of a coinlanding on heads from a flip of a coin
C spinning yellow on a spinner with 4 equal partsspinning yellow on a spinner with 4 equal parts
D drawing a red ball from a bag that contains 5 red balls and 3 blue balls
Question 1
Which spinner represents a uniform probability model?
Responses
A spinner Aspinner A
B spinner Bspinner B
C spinner Cspinner C
D spinner Dspinner D
Question 2
Which situation represents an event from a non-uniform probability model?
Responses
A rolling a 2 on a six-sided dierolling a 2 on a six-sided die
B landing on heads from a flip of a coinlanding on heads from a flip of a coin
C spinning yellow on a spinner with 4 equal partsspinning yellow on a spinner with 4 equal parts
D drawing a red ball from a bag that contains 5 red balls and 3 blue balls
Answers
GPT-4o mini
### Question 1
To determine which spinner represents a uniform probability model, you would be looking for a spinner where all outcomes are equally likely.
- **Spinner A**: If it has equal sections, it represents a uniform probability model.
- **Spinner B**: If it has sections of varying sizes, it does not represent a uniform probability model.
- **Spinner C**: Similar to Spinner B, if the sections are not equal, it’s not uniform.
- **Spinner D**: Again, it needs equal sections to be uniform.
**Response**: Depending on the descriptions of the spinners, the answer would likely be **Spinner A** if it shows equal sections.
### Question 2
For this question, you are identifying a situation that represents a non-uniform probability model, where the probabilities of different outcomes are not equal.
- **A. Rolling a 2 on a six-sided die**: Each side of the die has an equal chance, so this is uniform.
- **B. Landing on heads from a flip of a coin**: The chance of heads or tails is equal, so this is uniform.
- **C. Spinning yellow on a spinner with 4 equal parts**: Similar to A and B, this is uniform.
- **D. Drawing a red ball from a bag that contains 5 red balls and 3 blue balls**: The probabilities are not equal since there are more red balls than blue.
**Response**: **D** - drawing a red ball from a bag that contains 5 red balls and 3 blue balls represents a non-uniform probability model.
To determine which spinner represents a uniform probability model, you would be looking for a spinner where all outcomes are equally likely.
- **Spinner A**: If it has equal sections, it represents a uniform probability model.
- **Spinner B**: If it has sections of varying sizes, it does not represent a uniform probability model.
- **Spinner C**: Similar to Spinner B, if the sections are not equal, it’s not uniform.
- **Spinner D**: Again, it needs equal sections to be uniform.
**Response**: Depending on the descriptions of the spinners, the answer would likely be **Spinner A** if it shows equal sections.
### Question 2
For this question, you are identifying a situation that represents a non-uniform probability model, where the probabilities of different outcomes are not equal.
- **A. Rolling a 2 on a six-sided die**: Each side of the die has an equal chance, so this is uniform.
- **B. Landing on heads from a flip of a coin**: The chance of heads or tails is equal, so this is uniform.
- **C. Spinning yellow on a spinner with 4 equal parts**: Similar to A and B, this is uniform.
- **D. Drawing a red ball from a bag that contains 5 red balls and 3 blue balls**: The probabilities are not equal since there are more red balls than blue.
**Response**: **D** - drawing a red ball from a bag that contains 5 red balls and 3 blue balls represents a non-uniform probability model.